Homework Answers
Ans:
P(x=k)=e-9*(9k/k!)
a)
P(x>=a)=0.005
P(x<a)=1-0.005=0.995
P(x<=a-1)=0.995
check using excel function or calulator:
poisson(17,9,true)=0.995
P(x<=17)=0.995
a-1=17
a=18
b)
P(3<x<10)=P(x=4)+P(x=5)+P(x=6)+P(x=7)+P(x=8)+P(x=9)
=0.5662
| x | p(x) |
| 4 | 0.0337 |
| 5 | 0.0607 |
| 6 | 0.0911 |
| 7 | 0.1171 |
| 8 | 0.1318 |
| 9 | 0.1318 |
| Total | 0.5662 |
c)P(x=9)=e-9*(99/9!)=0.1318
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